## Abstract

We consider an abstract version of the Cauchy-Kowalewski Problem with the right hand side being free from the Lipschitz type conditions and prove the existence theorem.

Show Summary Details# Abstract version of the Cauchy-Kowalewski problem

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## Abstract

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More options …# Open Mathematics

### formerly Central European Journal of Mathematics

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Editor-in-Chief: Gianazza, Ugo / Vespri, Vincenzo

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IMPACT FACTOR 2016 (Open Mathematics): 0.682

IMPACT FACTOR 2016 (Central European Journal of Mathematics): 0.489

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Oleg Zubelevich

We consider an abstract version of the Cauchy-Kowalewski Problem with the right hand side being free from the Lipschitz type conditions and prove the existence theorem.

Keywords: weighted Banach space; Nishida's theorem; scales of Banach spaces; fixed point theorems

Keywords: 35A10

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**Published Online**: 2004-06-01

**Published in Print**: 2004-06-01

**Citation Information: **Open Mathematics, Volume 2, Issue 3, Pages 382–387, ISSN (Online) 2391-5455, DOI: https://doi.org/10.2478/BF02475235.

© 2004 Versita Warsaw. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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